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Finding the Third Proportional to 134,648 and 291,582

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Solution

The third proportional to 134,648 and 291,582 is: 631,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,648 : 291,582 = 291,582 : x
  2. Step 2: Convert to fraction form
    134,648/291,582 = 291,582/x
  3. Step 3: Cross multiply
    134,648x = 291,582 × 291,582
  4. Step 4: Simplify right side
    134,648x = 85,020,062,724
  5. Step 5: Solve for x
    x = 85,020,062,724/134,648
  6. Step 6: Final answer
    x = 631,424.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.